Skew-holomorphic Jacobi forms of index 1 and Siegel modular forms of half-integral weight

Skew-holomorphic Jacobi forms of index 1 and Siegel modular forms of half-integral weight
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指数 1 的斜全纯雅可比形式和半积分权重的西格尔模形式

DOI:
10.1016/j.jnt.2003.12.010
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发表时间:
2004
影响因子:
0.7
通讯作者:
Shuichi Hayashida
Shuichi Hayashida
中科院分区:
数学3区
文献类型:
--
作者:
Shuichi Hayashida

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Eichler-Zagier 给出了 Kohnen 正空间和指数 1 的雅可比形式之间的同构。在本文中,我们在斜全纯雅可比形式的情况下将这种同构推广到更高程度。
The isomorphism between Kohnen's plus space and Jacobi forms of index 1 was given by Eichler–Zagier. In this article, we generalize this isomorphism for higher degree in the case of skew-holomorphic Jacobi forms.